Online GCD Calculator is useful to find the GCD of 867, 412, 416, 378 quickly. Get the easiest ways to solve the greatest common divisor of 867, 412, 416, 378 i.e 1 in different methods as follows.
Given Input numbers are 867, 412, 416, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (867, 412, 416, 378) = 1.
Given numbers are 867, 412, 416, 378
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 412 are 2 x 2 x 103
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 867, 412, 416, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 412) = 357204
GCD(867, 412) = ( 867 x 412 ) / 357204
= 867 / 412
= 867
Step2:
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
= 1 / 416
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 867, 412, 416, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 867, 412, 416, 378
The greatest common divisor of numbers 867, 412, 416, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 412, 416, 378 is 1.
1. What is the GCD of 867, 412, 416, 378?
GCD of given numbers 867, 412, 416, 378 is 1
2. How to calculate the greatest common divisor of 867, 412, 416, 378?
We can find the highest common divisor of 867, 412, 416, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 867, 412, 416, 378 i.e 1.
3. How can I use the GCD of 867, 412, 416, 378Calculator?
Out the numbers 867, 412, 416, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.